Put one angle of each triangle at the center of the hexagon.
Join them together
First make a regular hexagon. Then take any one triangle and slide it through two heights so that it's base is on what was the opposite side. You will have an irregular, concave hexagon, shaped somewhat like an arrowhead.
Only an equilateral triangle, square and a regular hexagon can be used to make regular tessellations but there are innumerable polygonal and non-polygonal shapes which will tessellate by themselves, and others which will tessellate along with other shapes.
You Cant. Because A Hexagon Is A Six Sided Shape. And An Equilateral Triangle Is Equal. So You Can Because Everything (As In Sides And Angles Will Be Congruent)
Put one angle of each triangle at the center of the hexagon.
A regular hexagon can be considered as being built up of six equilateral triangles. Each equilateral triangle has an area of (b/2) * sqrt (3b/2) where b is the side of the equilateral triangles that make up the hexagon and also the radius of the hexagon's circumscribed circle, and sqrt means the square root ofSo the area of the regular hexagon with side length b is 3 * b * sqrt (3b/2)
Join them together
First make a regular hexagon. Then take any one triangle and slide it through two heights so that it's base is on what was the opposite side. You will have an irregular, concave hexagon, shaped somewhat like an arrowhead.
The only shapes which will make a regular tessellation are:an equilateral trianglea squarea regular hexagon.
Only an equilateral triangle, square and a regular hexagon can be used to make regular tessellations but there are innumerable polygonal and non-polygonal shapes which will tessellate by themselves, and others which will tessellate along with other shapes.
You Cant. Because A Hexagon Is A Six Sided Shape. And An Equilateral Triangle Is Equal. So You Can Because Everything (As In Sides And Angles Will Be Congruent)
Yes.
Triangle, square, hexagon.
The question asks about the "following". In those circumstances would it be too much to expect that you make sure that there is something that is following?
Infinitely many. When you have one equilateral triangle, you can join up the midpoints of its sides to make into 4 more equilateral triangles. And then each one of those can be split up and so on.
No. It is not possible to make a equilateral triangle that is obtuse.